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Which of the following expressions can be factorised using the identity for the difference of two squares, \((a^2-b^2)=(a-b)(a+b)\)?
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Answer and explanation
Correct answer: \(25m^2-36n^2\)
\(25m^2-36n^2=(5m)^2-(6n)^2\), so it is a difference of two squares and factorises as \((5m-6n)(5m+6n)\). Option B has a plus sign. Exam tip: check for two perfect squares separated by a minus sign.
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What is the correct answer to this question?
\(25m^2-36n^2\)
Why is this the correct answer?
\(25m^2-36n^2=(5m)^2-(6n)^2\), so it is a difference of two squares and factorises as \((5m-6n)(5m+6n)\). Option B has a plus sign. Exam tip: check for two perfect squares separated by a minus sign.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Factorisation.
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